What is the average speed of an object that is moving at $9 m/s$ at $t=0$ and accelerates at a rate of $a(t) =5-2t$ on $t in [0,5]$ ?

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Answer 1 · 2016-11-08T14:39:22

Average speed is the mean of initial velocity and final velocity.

to solve this question we need to take out final velocity ( $v$ ) and initial velocity( $u$ ) is already proided.

so lets proceed.

$a(t)=5-2t$
therefore accereleration at 5 seconds is -5 $m/s^2$ .This is derieved by puting t=5 in the above equation/function.

$a=v/t-u/t$

by putting values this we get $v=-12m/s$

so $u=9m/s$ and $v=-12m/s$

$V_av= (u+v)/2$
= $-1.5m/s$ .

I haven't showed the actual mathematics calculation as i hope you can easily make it,she see the procedure.

What is the average speed of an object that is moving at 9 m/s9 m/s at t=0t=0 and accelerates at a rate of a(t) =5-2ta(t) =5-2t on t in [0,5]t in [0,5]?